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Finding the Third Proportional to 724,008.38 and 952,070.06

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Solution

The third proportional to 724,008.38 and 952,070.06 is: 1,251,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,008.38 : 952,070.06 = 952,070.06 : x
  2. Step 2: Convert to fraction form
    724,008.38/952,070.06 = 952,070.06/x
  3. Step 3: Cross multiply
    724,008.38x = 952,070.06 × 952,070.06
  4. Step 4: Simplify right side
    724,008.38x = 906,437,403,908.75
  5. Step 5: Solve for x
    x = 906,437,403,908.75/724,008.38
  6. Step 6: Final answer
    x = 1,251,970.88

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.